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The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles is 126.

The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles, with no marbles left over in each case, is the lowest common multiple between these two numbers.

By decomposing these numbers as a product of primes, we get:

18 = 2*3*3

42 = 2*3*7

Notice that the first two prime factors are the same, but the third one changes. To get the first common multiple, we need to multiply both numbers by the third factor (the different one) of the other.

We will get:

18*7 = 126

42*3 = 126

Then 126 is the smallest number that can be divided by 18 and 42.

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The number of acorns that each animal hid is 48

An equation is formed when two algebraic expressions are equated by an equal sign.

It is asked to calculate the number of acorns that each animal hid.

Total number of acorns hid  =  number of acorns hid per tree * number of trees    

Let   T be the number of trees chipmunk used

For chipmunk:    = 3*T

For squirrel:   = 4*(T-4)

 As both the animals hid same number of acorns.

    3T = 4(T-4)      

    3T = 4T - 16      

      16 = T

Therefore the chipmunk hid 16 * 3 = 48 acorns

and the squirrel hid 4(16-4) = 48 acorns.

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Answer:

58.5 ft

Step-by-step explanation:

sin 70=55/length

length=58.5 ft

The combined total of their contracts is $1,296,250

The values of the contracts are given as:

The combined total is represented as:

Total = Exxon Mobil + Aerospace

Substitute known values

Total = $756,733 + $539,517

Evaluate the sum

Total = $1,296,250

Hence, the combined total of their contracts is $1,296,250

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Answer: 8

Step-by-step explanation:

[tex]\frac{180(n-2)}{n}=135\\180(n-2)=135n\\180n-360=135n\\-360=-45n\\n=\boxed{8}[/tex]

282.5 of 10 tickets were sold in the rock concert by the promoter

To do this, we make use of the following representations:

The 475 tickets that were sold means that:

x + y + z = 475

The income means that:

10x + 15y + 20z = 6300

Also, we have:

10y = 4z

Divide both sides by 10

y = 0.4z

Substitute y = 0.4z in 10x + 15y + 20z = 6300

10x + 15*0.4z + 20z = 6300

10x + 6z + 20z = 6300

Evaluate the like terms

10x + 26z = 6300

Substitute y = 0.4z in x + y + z = 475

x + 0.4z + z = 475

Evaluate the like terms

x + 1.4z = 475

Make x the subject

x = 475 - 1.4z

Substitute x = 475 - 1.4z in 10x + 26z = 6300

10(475 - 1.4z) + 26z = 6300

Expand

4750 - 14z + 26z = 6400

Evaluate the like terms

12z = 1650

Divide both sides by 12

z = 137.5

Substitute z = 137.5 in x = 475 - 1.4z

x = 475 - 1.4 * 137.5

Evaluate

x = 282.5

Hence, 282.5 of 10 tickets were sold

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Answer:

2^1

Step-by-step explanation:

a^m/a^n = a^(m-n)

so, 2^8/2^7 = 2^(8-7) = 2^1

hope this helps :)

Answer:

1&32 2&16 4&8

Step-by-step explanation:

Factor Pair Pair Factorization

1 and 32       1 x 32 = 32

2 and 16         2 x 16 = 32

4 and 8      4 x 8 = 32

Answer:If your in FLVS i don't really know because this give really hard things. Wish you luck

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the quadratic formula to get the answer to this

Quadratic Formula: -b +- √b² - 4ac/2a

Once we input A, B, and C into this, and solve any multiplication, we get

x = -1  +- √1 + 20/2

We divide by 2a, which 2a = 2.

-0.5 +- 10.5.

these are the following values of x:

x = 10

x = 11

Pretty sure this is it, hope it helps!

Answer:

h(x) = 1 / 4x

last choice

Step-by-step explanation:

y = 4x becomes x = 4y

we want to solve for y,

divided both sides by 4

x / 4 = 4y / 4

x / 4 = y

Answer:

[tex]h(x) = \dfrac 14 x[/tex]

Step-by-step explanation:

[tex]y = f(x) = 4x\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~x = 4y\\\\\implies y = \dfrac x4\\\\\implies f^{-1}(x) = \dfrac 14x[/tex]

The standard deviation from the mean of the data with a variance of 36 is: B. 6.

Standard deviation can be described as the average of the distance each of the value lies from the mean of the data.

The standard deviation is the square root of the variance.

Variance of the data is given already as 36.

Standard deviation = √36 = 6.

The answer is B. 6.

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Answer:

  (a)  3.8

Step-by-step explanation:

The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.

__

The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.

Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.

  EF > DE

  EF > 3

Only one answer choice satisfies this inequality.

  EF = 3.8

__

Additional comment

If you want to do the actual computation, we have ...

  EF/sin(D) = DE/sin(F)

  EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828

  EF ≈ 3.8

Answer:

40 units.

Step-by-step explanation:

Consider ∆ADC

Perimeter = 26cm (Given)

★ Perimeter of a triangle is the sum of its three sides.

=> AD + DC + AC = 26

Now, from the figure we can see that side AD = DC

Hence we can also write

=> AD + AD + AC = 26

=> 2AD + AC = 26

=> AC = 26 - 2AD ——— ‘1’

Consider ∆ ABC,

Let us consider it's perimeter to be ‘x’.

=> AB + AC + BC = x

Here also we can make out from the figure that side AB = BC

=> AB + AB + AC = x

=> 2AB + AC = x

From ‘1’ substituting AC value, we get

=> 2AB + ( 26 - 2AD ) = x

=> 2AB - 2AD + 26 = x

=> 2( AB - AD ) + 26 = x

=> 2 (7) + 26 = x ( Given )

Therefore perimeter of the ∆ABC (x) = 40

[tex]\huge \boxed{\sf x=2}\\\\\\\displaystyle \sf AC=AB+BC\\\\41=3x-1+14x+8\\\\41=17x+7\\\\Subtracting\ 7\ from\ each\ side \\\\ 41-7=17x+7-7 \\\\ 34=17x\\\\Dividing\ each\ side\ by\ 17 \\\\ \frac{34}{17}=\frac{17x}{17} \\\\ 2=x[/tex]

Hi student, let me help you out! :)

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We are asked to solve the equation [tex]\pmb{2x+3=-1}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

First, subtract 3 from both sides of the equal sign:

[tex]\mathrm{2x=-1-3}[/tex]

[tex]\mathrm{2x=-4}[/tex]

Now, divide both sides by 2:

[tex]\mathrm{x=-2}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Wealthy Romans relied on servants to run their households.

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Answer:

The correct answer is Wealthy Romans relied on servants to run their households.

Step-by-step explanation:

I got it right on edge 2022

Step-by-step explanation:

that is a large gift. wow ! you have a lucky teacher ...

the surface of a block consists of 6 (3 pairs of) areas :

front and back

left and right

top and bottom

you know that the area of a rectangle is length × width ?

so,

front and back are

2× 9×13.5 = 18×13.5 = 243 m²

let and right are also

2× 9×13.5 = 243 m²

top and bottom are

2× 9×9 = 2 × 81 = 162 m²

so, for the whole package you need

243 + 243 + 162 = 648 m²

the money for that amount of wrapping paper alone would be way more than I ever spent on a teacher in my life ...

Answer:

6

Step-by-step explanation:

First order them from least to greatest:

1, 3, 6, 7, 9

The median is 6 because it is the middle value.

Hope this helps! Brainliest would be really appreciated

By solving a quadratic equation, we will see that the ball hits the ground after 2.6 seconds.

Here we need to solve the equation:

h(t) = 0 = -16t² + 40t + 4

This represents that the ball hits the ground.

So we just need to solve that quadratic equation, using the general formula we get:

[tex]t = \frac{-40 \pm \sqrt{(40)^2 - 4*4*(-16)} }{2*-16} \\\\t = \frac{-40 \pm 43.1 }{-32}[/tex]

We only care for the positive solution, which is:

t = (-40 - 43.1)/-32 = 2.6s

So the ball hits the ground after 2.6 seconds.

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Answer:312

Step-by-step explanation: multiply 6*4*13

Answer: A translation left 3 units and up 6 units

In order to find the translation of a shape in the graph.

Take particular one point from the original shape: (0, 2)

Take particular one point from the translated shape: (-3, 8)

Let the translation be (x, y)

   Original + Translation = Translated Image

This implies the shape has been translated 3 units left and 6 units up.

Answer + Step-by-step explanation:

» ABC ≅ DBE

» DE // AC  

(properties of the mid-segment of a triangle)

» Length of DE = 1/2 length of AC  

(properties of the mid-segment of a triangle)

» ∠BDE = ∠DAC

(Corresponding angles)

Answer:

2

Step-by-step explanation:

The rise is two using the slope formula

rise/run

2/3

2 is the rise

Give brainliest please.

Hope this helps

Answer:

2

Step-by-step explanation:

Remember the rise-run formula

rise ÷ run

The rise is 2, and the run is 3, making this two-over-three.

t = 0

t = 5

Step-by-step explanation:

(-10t^2+50t)/(t^2+4t+3)

I'm making t into x so its not confusing with the plus sign

(-10x^2+50x)/(x^2+4x+3)

with (x^2+4x+3) :

what 2 numbers when multiplied make 3 and when added make 4 ?

they are 1 and 3

(x+1)(x+3)

(-10x^2+50x)/(x+1)(x+3)

(-10x(x-5))/(x+1)(x+3) =0

(-10t(t-5))/(t+1)(t+3)=0

t = 0

t = 5

Real life scenarios of acute angles are:

As a general rule, an acute angle, x is represented as: x < 90

This means that acute angles are less than 90 degrees.

The real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.

Sample of the real life scenarios that satisfy the above definition are:

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The regression equation of the data values is y = 2.13x^2 + 0.13x + 6.39

The attached table represents the missing information in the question.

Next, we enter the data values in a graphing technology

Using the graphing technology, we have:

a =2.13; b = 0.13 and c = 6.39

A quadratic regression is represented as:

y = ax^2 + bx + c

So, we have:

y = 2.13x^2 + 0.13x + 6.39

Hence, the regression equation of the data values is y = 2.13x^2 + 0.13x + 6.39

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Answer:

A) [tex]\displaystyle x=\frac{-8\pm\sqrt{40}}{2}[/tex]

Step-by-step explanation:

We know that the discriminant is [tex]b^2-4ac=(8)^2-4(1)(6)=64-24=40[/tex], so it cannot be B or C.

Also, because [tex]2a=2(1)=2[/tex], then the denominator must be 2, which means that A is the correct un-simplified solution for the quadratic equation.

Answer:

Choice A

Step-by-step explanation:

Let's solve to check.

Given:

x^2 + 8x + 6 = 0

Solution:

We know that,

[tex] \implies \rm \: x = \cfrac{ { - b±} \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]

So substitute them:

[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{ {8}^{2} - 4(1 \times 6)} }{2 \times 1} [/tex]

[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{64 - 4 \times 6 } }{2} [/tex]

[tex] \implies \rm \: x= \cfrac{ - 8 ±\sqrt{64 - 24} }{2} [/tex]

[tex]\boxed{ \implies \rm \: x = \cfrac{ - 8 ±\sqrt{40}}{2}}[/tex]

Hence, choice A[x = {8±√(40)/2}] shows the un-simplified solution for x2 + 8x + 6 = 0.